Add to ORKGWe show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth
AbstractFor a smooth action of a compact connected Lie group on a compact connected smooth manifold,...
In this paper we give an explicit description of the bounded displacement isometries of a class of s...
We prove the result stated in the title; it is equivalent to the exis-tence of a regular point of th...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are left...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are left...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are left...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are lef...
We prove quantitative stability of isometries on the first Heisenberg group with sub-Riemannian geom...
AbstractFor a smooth action of a compact connected Lie group on a compact connected smooth manifold,...
In this paper we give an explicit description of the bounded displacement isometries of a class of s...
We prove the result stated in the title; it is equivalent to the exis-tence of a regular point of th...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular su...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are left...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are left...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are left...
We consider Lie groups equipped with arbitrary distances. We only assume that the distances are lef...
We prove quantitative stability of isometries on the first Heisenberg group with sub-Riemannian geom...
AbstractFor a smooth action of a compact connected Lie group on a compact connected smooth manifold,...
In this paper we give an explicit description of the bounded displacement isometries of a class of s...
We prove the result stated in the title; it is equivalent to the exis-tence of a regular point of th...